Produce Price Computing
28 April 2010
Produce Price Computing
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how do you compute the following problem.?
the price company will produce 55,000 widgets next year. variable costs will equal 40% of sales, while operating fixed costs will total $110,000. at what price must each widget be sold for the company to achieve an EBIT of $95,000.
If I understand the question correctly, this is how it would be worked out:
The company will make 55,000 widgets, at X amount, so they will receive $55,000 times X when they sell them all, minus 40% of sales and the fixed cost of $110,000. You want this amout to total $95,000. So,
[sales] - [variable cost] - [fixed cost] = [profit]
$55,000X - (.40)$55,000X - $110,000 = $95,000
{(.40)$55,000X = $22,000X So...}
$55,000X - $22,000X - $110,000 = $95,000
{$55,000X - $22,000X = $33,000X So...}
$33,000X - $110,000 = $95,000
{Add $110,000 to each side of the equation...}
$33,000X = $205,000
{Divide each side by $33,000...}
X = $6.21
Each widget should sell for $6.21
